Question

la figura muestra dos rectas cortadas por una transversal. ¿qué valor de b muestra que las rectas son paralelas? usa el teclado numérico para escribir tu respuesta en el recuadro. b =

Explanation:

Step1: Set up the equation

When two lines are parallel and cut by a transversal, the alternate - interior angles are equal. So we set \(5b + 16=b + 32\).

Step2: Solve the equation for \(b\)

Subtract \(b\) from both sides: \(5b - b+16=b - b + 32\), which simplifies to \(4b+16 = 32\).
Then subtract 16 from both sides: \(4b+16 - 16=32 - 16\), so \(4b = 16\).
Divide both sides by 4: \(b=\frac{16}{4}\).

Answer:

\(b = 4\)